HTNGOIL_explanation

# HTNGOIL_explanation - Confidence Interval Estimate and...

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Confidence Interval Estimate and Prediction Interval Data Confidence Level 95% 1 Temp(F) given value 0 Insulation given value 0 Style( 0 = no ranch house and 1 = ranch house) given value 0 X'X 15 604 95 7 604 30308 3833 268 95 3833 725 40 7 268 40 7 Inverse of X'X 0.8287299 -0.007159 -0.058623 -0.219637 -0.007159 0.0001685 1.20E-005 0.0006398 -0.058623 1.20E-005 0.0084537 0.0098569 -0.219637 0.0006398 0.0098569 0.2816745 X'G times Inverse of X'X 0.8287299 -0.007159 -0.058623 -0.219637 [X'G times Inverse of X'X] times XG 0.8287299 t Statistic 2.2009852 Predicted Y (YHat) 592.5401 For Average Predicted Y (YHat) Interval Half Width 31.55549 Confidence Interval Lower Limit 560.9846 Confidence Interval Upper Limit 624.0956 For Individual Response Y Interval Half Width 46.87521 Prediction Interval Lower Limit 545.6649 Prediction Interval Upper Limit 639.4153 PHStat2 User Note: Enter the values for the given X's in the cell range B6:B8. (You can interactively change these values at any time.) (Before continuing, press the Delete key to delete this note.)

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Regression Analysis Regression Statistics Multiple R 0.9942061872 R Square 0.9884459427 Adjusted R Square 0.9852948361 Standard Error 15.748939303 Observations 15 ANOVA df SS MS F Significance F Regression 3 233406.909353 77802.303118 313.68217084 6.215477E-011 Residual 11 2728.31998073 248.02908916 Total 14 236135.229333 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 592.54011675 14.3369842464 41.329480912 2.02317E-013 560.984627204 624.0956063 X1 = Temp(F) -5.5251008845 0.2044312283 -27.0266971 2.07188E-011 -5.9750509838 -5.0751507851 X2 = Insulation -21.37612794 1.448019304 -14.76232249 1.34816E-008 -24.5631969399 -18.18905894 X3 = Style( 0 = no ra -38.97266608 8.3584372368 -4.6626737716 0.0006907094 -57.3694623836 -20.57586977 The regression equation is Yi = 592.5401 - 5.5251(X1i) - 21.3761(X2i) - 38.97267 (X3i) It is intrepreted as holding constant the effect of attic insulation and the style of house, for each additional 1F increase in the temperature, the mean oil consumption is estimated to decrease by 5.5251 It is interpreted as holding constant the temperature and the style of the house, for each unit of increase in the attic insulation, the mean oil consumption is estimated to decrease by 21.3761 gallons 1. For house that donot have ranch house, X3 = 0, the regression eqn is Yi = 592.5401 - 5.5251(X1i) - 21.3761(X2i) 2. For the ranch style house, X3 = 1, the regression eqn is Yi = 553.5674 -5.5251(X1i) -21.3761(X2i) It is intrepreted as holding constant the temperature and the attic insulation, the mean oil consumption decrease by 38.97267 for a ranch house than for not a ranch house
Regression Analysis Coefficients of Partial Determination Intermediate Calculations SSR(X1,X2,X3,X4,X5,X6) 234510.5818 SST 236135.2293 SSR(X2,X3,X4,X5,X6) 217333.5081 SSR(X1 | X2,X3,X4,X5,X6) 17177.07374 SSR(X1,X3,X4,X5,X6) 222192.5556 SSR(X2 | X1,X3,X4,X5,X6) 12318.02628 SSR(X1,X2,X4,X5,X6) 232894.7859 SSR(X3 | X1,X2,X4,X5,X6)

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## This note was uploaded on 03/26/2012 for the course MATH 104 taught by Professor Green during the Spring '10 term at Golden Gate.

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HTNGOIL_explanation - Confidence Interval Estimate and...

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